Answer:
1. subtract 9 from z- z-9
2. add 9 and z - z+9
3. divide 9 by z - 9/z
4. multiply 9 by z - 9z
Step-by-step explanation:
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Theorems are proven with geometric proof
Answer:
The volume of the given pyramid is 300 cm³
Step-by-step explanation:
The volume of a pyramid,
, is given as follows;

The height of the pyramid = 12 cm
The side length of the square base of the pyramid = 5 cm
The base area of the pyramid polyhedron with square base = 5 cm × 5 cm = 25 cm²
Therefore, by substitution, we have;

The volume of the given pyramid, V = 300 cm³.
Answer:10.67
Explanation:The given series is a geometric series:
8 , 2 , 0.5 , ...... etc
The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......
Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25
We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25
Now, we will get the sum of the sequence as follows:
S =

=

= 32/3 = 10.67
Hope this helps :)